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Finding the Fourth Proportional to 29,158.25, 43,728.14 and 9,432.19

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Solution

The fourth proportional to 29,158.25, 43,728.14 and 9,432.19 is: 14,145.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,158.25 : 43,728.14 = 9,432.19 : x
  2. Step 2: Convert to fraction form
    29,158.25/43,728.14 = 9,432.19/x
  3. Step 3: Cross multiply
    29,158.25x = 43,728.14 × 9,432.19
  4. Step 4: Simplify right side
    29,158.25x = 412,452,039.09
  5. Step 5: Solve for x
    x = 412,452,039.09/29,158.25
  6. Step 6: Final answer
    x = 14,145.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.